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How many statistical structures and Ricci flat affine connections are there on the tangent bundle? | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 19، دوره 15، شماره 1، فروردین 2024، صفحه 225-239 اصل مقاله (452.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29053.4052 | ||
| نویسندگان | ||
| Esmaeil Peyghan* 1؛ Farshad Firuzi2؛ Uday Chand De3 | ||
| 1Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran | ||
| 2Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran | ||
| 3Department of Pure Mathematics, Calcutta University, 35, B.C.Road, Kolkata-700019, India | ||
| تاریخ دریافت: 28 آبان 1401، تاریخ بازنگری: 24 بهمن 1401، تاریخ پذیرش: 10 فروردین 1402 | ||
| چکیده | ||
| In this paper, we consider the tangent bundle TM of a Riemannian manifold (M, g) with the Sasaki metric G and using the Cauchy-Kowalevski Theorem, we answer the question of how many analytic statistical structures are there on (TM, G). Also, we study the Ricci tensor of linear affine connections on the tangent bundle TM. In addition, we answer the question of how many Ricci flat affine connections with and without torsion are there on the tangent bundle. | ||
| کلیدواژهها | ||
| Cauchy-Kowalevski Theorem؛ Sasaki Metrics؛ Statistical Structures | ||
| مراجع | ||
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